3975364293120 has 960 divisors, whose sum is σ = 15618354111360. Its totient is φ = 961088716800.

The previous prime is 3975364293119. The next prime is 3975364293143. The reversal of 3975364293120 is 213924635793.

3975364293120 is a `hidden beast` number, since 3 + 9 + 7 + 536 + 4 + 2 + 93 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 3893598210 + ... + 3893599230.

It is an arithmetic number, because the mean of its divisors is an integer number (16269118866).

Almost surely, 2^{3975364293120} is an apocalyptic number.

3975364293120 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 3975364293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809177055680).

3975364293120 is an abundant number, since it is smaller than the sum of its proper divisors (11642989818240).

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

3975364293120 is a wasteful number, since it uses less digits than its factorization.

3975364293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3975364293120 in words is "three trillion, nine hundred seventy-five billion, three hundred sixty-four million, two hundred ninety-three thousand, one hundred twenty".