3786468720 has 80 divisors (see below), whose sum is σ = 11859136800. Its totient is φ = 999309312.

The previous prime is 3786468709. The next prime is 3786468727. The reversal of 3786468720 is 278646873.

3786468720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786468727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58045 + ... + 104604.

It is an arithmetic number, because the mean of its divisors is an integer number (148239210).

Almost surely, 2^3786468720 is an apocalyptic number.

3786468720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3786468720 is an abundant number, since it is smaller than the sum of its proper divisors (8072668080).

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

3786468720 is a wasteful number, since it uses less digits than its factorization.

3786468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162762 (or 162756 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 3786468720 is about 61534.2889777724. The cubic root of 3786468720 is about 1558.6363164934.

The spelling of 3786468720 in words is "three billion, seven hundred eighty-six million, four hundred sixty-eight thousand, seven hundred twenty".