3787792476480 has 672 divisors, whose sum is σ = 13976577957888. Its totient is φ = 975408998400.

The previous prime is 3787792476451. The next prime is 3787792476529. The reversal of 3787792476480 is 846742977873.

3787792476480 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 79 + 2 + 4 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3787792476399 and 3787792476408.

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, 1357143885 + ... + 1357146675.

It is an arithmetic number, because the mean of its divisors is an integer number (20798479104).

Almost surely, 2^{3787792476480} is an apocalyptic number.

3787792476480 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 3787792476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988288978944).

3787792476480 is an abundant number, since it is smaller than the sum of its proper divisors (10188785481408).

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

3787792476480 is a wasteful number, since it uses less digits than its factorization.

3787792476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 3787792476480 in words is "three trillion, seven hundred eighty-seven billion, seven hundred ninety-two million, four hundred seventy-six thousand, four hundred eighty".