3674232038400 has 2112 divisors, whose sum is σ = 16263836190720. Its totient is φ = 708496588800.

The previous prime is 3674232038369. The next prime is 3674232038417. The reversal of 3674232038400 is 48302324763.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 5954994892 + ... + 5954995508.

Almost surely, 2^{3674232038400} is an apocalyptic number.

3674232038400 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 3674232038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131918095360).

3674232038400 is an abundant number, since it is smaller than the sum of its proper divisors (12589604152320).

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

3674232038400 is a wasteful number, since it uses less digits than its factorization.

3674232038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 3674232038400 in words is "three trillion, six hundred seventy-four billion, two hundred thirty-two million, thirty-eight thousand, four hundred".