3396187634400 has 3024 divisors, whose sum is σ = 15330905478000. Its totient is φ = 729177292800.

The previous prime is 3396187634369. The next prime is 3396187634401. The reversal of 3396187634400 is 44367816933.

It is a happy number.

3396187634400 is a `hidden beast` number, since 3 + 3 + 9 + 61 + 87 + 63 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396187634401) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 22793205526 + ... + 22793205674.

It is an arithmetic number, because the mean of its divisors is an integer number (5069743875).

Almost surely, 2^{3396187634400} is an apocalyptic number.

3396187634400 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 3396187634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665452739000).

3396187634400 is an abundant number, since it is smaller than the sum of its proper divisors (11934717843600).

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

3396187634400 is a wasteful number, since it uses less digits than its factorization.

3396187634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3396187634400 in words is "three trillion, three hundred ninety-six billion, one hundred eighty-seven million, six hundred thirty-four thousand, four hundred".