3412837152 has 360 divisors, whose sum is σ = 11128970160. Its totient is φ = 1023010560.

The previous prime is 3412837079. The next prime is 3412837157. The reversal of 3412837152 is 2517382143.

It is a super-2 number, since 2×3412837152² = 23294914852142942208, which contains 22 as substring.

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 (3412837157) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26052127 + ... + 26052257.

It is an arithmetic number, because the mean of its divisors is an integer number (30913806).

Almost surely, 2^3412837152 is an apocalyptic number.

3412837152 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 3412837152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564485080).

3412837152 is an abundant number, since it is smaller than the sum of its proper divisors (7716133008).

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

3412837152 is a wasteful number, since it uses less digits than its factorization.

3412837152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 178 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3412837152 is about 58419.4929111850. The cubic root of 3412837152 is about 1505.5846857193.

The spelling of 3412837152 in words is "three billion, four hundred twelve million, eight hundred thirty-seven thousand, one hundred fifty-two".