3762114720 has 384 divisors, whose sum is σ = 14932076544. Its totient is φ = 774918144.

The previous prime is 3762114691. The next prime is 3762114809. The reversal of 3762114720 is 274112673.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1877239 + ... + 1879241.

It is an arithmetic number, because the mean of its divisors is an integer number (38885616).

Almost surely, 2^3762114720 is an apocalyptic number.

3762114720 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 3762114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7466038272).

3762114720 is an abundant number, since it is smaller than the sum of its proper divisors (11169961824).

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

3762114720 is a wasteful number, since it uses less digits than its factorization.

3762114720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3762114720 is about 61336.0800834224. The cubic root of 3762114720 is about 1555.2874879867.

The spelling of 3762114720 in words is "three billion, seven hundred sixty-two million, one hundred fourteen thousand, seven hundred twenty".