3401903232 has 512 divisors, whose sum is σ = 12817728000. Its totient is φ = 863944704.

The previous prime is 3401903231. The next prime is 3401903233. The reversal of 3401903232 is 2323091043.

It is a happy number.

3401903232 is a `hidden beast` number, since 340 + 1 + 90 + 3 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (3401903231) and next prime (3401903233).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3401903196 and 3401903205.

It is not an unprimeable number, because it can be changed into a prime (3401903231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9120198 + ... + 9120570.

It is an arithmetic number, because the mean of its divisors is an integer number (25034625).

Almost surely, 2^3401903232 is an apocalyptic number.

3401903232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408864000).

3401903232 is an abundant number, since it is smaller than the sum of its proper divisors (9415824768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3401903232 is a wasteful number, since it uses less digits than its factorization.

3401903232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3401903232 is about 58325.8367449623. The cubic root of 3401903232 is about 1503.9751203067.

Adding to 3401903232 its reverse (2323091043), we get a palindrome (5724994275).

The spelling of 3401903232 in words is "three billion, four hundred one million, nine hundred three thousand, two hundred thirty-two".