3401367552 has 300 divisors, whose sum is σ = 11133178056. Its totient is φ = 1026293760.

The previous prime is 3401367551. The next prime is 3401367569. The reversal of 3401367552 is 2557631043.

3401367552 is a `hidden beast` number, since 3 + 40 + 1 + 3 + 67 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3401367551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14598028 + ... + 14598260.

Almost surely, 2^3401367552 is an apocalyptic number.

3401367552 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 3401367552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566589028).

3401367552 is an abundant number, since it is smaller than the sum of its proper divisors (7731810504).

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

3401367552 is an equidigital number, since it uses as much as digits as its factorization.

3401367552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3401367552 is about 58321.2444311676. The cubic root of 3401367552 is about 1503.8961751175.

Adding to 3401367552 its reverse (2557631043), we get a palindrome (5958998595).

The spelling of 3401367552 in words is "three billion, four hundred one million, three hundred sixty-seven thousand, five hundred fifty-two".