3670980146400 has 576 divisors, whose sum is σ = 14327778963456. Its totient is φ = 798695424000.

The previous prime is 3670980146399. The next prime is 3670980146411. The reversal of 3670980146400 is 46410890763.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3670980146400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31711024 + ... + 31826576.

It is an arithmetic number, because the mean of its divisors is an integer number (24874616256).

Almost surely, 2^{3670980146400} is an apocalyptic number.

3670980146400 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 3670980146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163889481728).

3670980146400 is an abundant number, since it is smaller than the sum of its proper divisors (10656798817056).

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

3670980146400 is a wasteful number, since it uses less digits than its factorization.

3670980146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115675 (or 115662 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3670980146400 in words is "three trillion, six hundred seventy billion, nine hundred eighty million, one hundred forty-six thousand, four hundred".