3671165030400 has 2496 divisors, whose sum is σ = 16536960614400. Its totient is φ = 780337152000.

The previous prime is 3671165030399. The next prime is 3671165030437. The reversal of 3671165030400 is 40305611763.

3671165030400 is a `hidden beast` number, since 3 + 67 + 1 + 165 + 0 + 30 + 400 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17398886295 + ... + 17398886505.

Almost surely, 2^{3671165030400} is an apocalyptic number.

3671165030400 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 3671165030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268480307200).

3671165030400 is an abundant number, since it is smaller than the sum of its proper divisors (12865795584000).

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

3671165030400 is a wasteful number, since it uses less digits than its factorization.

3671165030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 3671165030400 in words is "three trillion, six hundred seventy-one billion, one hundred sixty-five million, thirty thousand, four hundred".