3790465378560 has 864 divisors, whose sum is σ = 16018722300672. Its totient is φ = 807775764480.

The previous prime is 3790465378519. The next prime is 3790465378589. The reversal of 3790465378560 is 658735640973.

3790465378560 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 4 + 65 + 3 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 146671240 + ... + 146697080.

It is an arithmetic number, because the mean of its divisors is an integer number (18540187848).

Almost surely, 2^{3790465378560} is an apocalyptic number.

3790465378560 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 3790465378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009361150336).

3790465378560 is an abundant number, since it is smaller than the sum of its proper divisors (12228256922112).

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

3790465378560 is a wasteful number, since it uses less digits than its factorization.

3790465378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25999 (or 25982 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 3790465378560 in words is "three trillion, seven hundred ninety billion, four hundred sixty-five million, three hundred seventy-eight thousand, five hundred sixty".