3763578728000 has 896 divisors, whose sum is σ = 12475968261120. Its totient is φ = 1090614067200.

The previous prime is 3763578727957. The next prime is 3763578728009. The reversal of 3763578728000 is 8278753673.

It is a hoax number, since the sum of its digits (56) 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 (56).

It is not an unprimeable number, because it can be changed into a prime (3763578728009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457907891 + ... + 457916109.

It is an arithmetic number, because the mean of its divisors is an integer number (13924071720).

Almost surely, 2^{3763578728000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3763578728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237984130560).

3763578728000 is an abundant number, since it is smaller than the sum of its proper divisors (8712389533120).

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

3763578728000 is a wasteful number, since it uses less digits than its factorization.

3763578728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 56.

The spelling of 3763578728000 in words is "three trillion, seven hundred sixty-three billion, five hundred seventy-eight million, seven hundred twenty-eight thousand".