3401053920 has 240 divisors, whose sum is σ = 13094606448. Its totient is φ = 824463360.

The previous prime is 3401053897. The next prime is 3401053939. The reversal of 3401053920 is 293501043.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130632 + ... + 154488.

Almost surely, 2^3401053920 is an apocalyptic number.

3401053920 is a gapful number since it is divisible by the number (30) 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 3401053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547303224).

3401053920 is an abundant number, since it is smaller than the sum of its proper divisors (9693552528).

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

3401053920 is a wasteful number, since it uses less digits than its factorization.

3401053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3401053920 is about 58318.5555376674. Note that the first 4 decimals coincide. The cubic root of 3401053920 is about 1503.8499501353.

Adding to 3401053920 its reverse (293501043), we get a palindrome (3694554963).

The spelling of 3401053920 in words is "three billion, four hundred one million, fifty-three thousand, nine hundred twenty".