3772500480 has 800 divisors, whose sum is σ = 16256173824. Its totient is φ = 817496064.

The previous prime is 3772500463. The next prime is 3772500491. The reversal of 3772500480 is 840052773.

3772500480 is a `hidden beast` number, since 3 + 7 + 72 + 500 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33384904 + ... + 33385016.

Almost surely, 2^3772500480 is an apocalyptic number.

3772500480 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 3772500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128086912).

3772500480 is an abundant number, since it is smaller than the sum of its proper divisors (12483673344).

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

3772500480 is a wasteful number, since it uses less digits than its factorization.

3772500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3772500480 is about 61420.6844637863. The cubic root of 3772500480 is about 1556.7173576741.

The spelling of 3772500480 in words is "three billion, seven hundred seventy-two million, five hundred thousand, four hundred eighty".