3747300480 has 1152 divisors, whose sum is σ = 17631768960. Its totient is φ = 722534400.

The previous prime is 3747300449. The next prime is 3747300521. The reversal of 3747300480 is 840037473.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52778845 + ... + 52778915.

It is an arithmetic number, because the mean of its divisors is an integer number (15305355).

Almost surely, 2^3747300480 is an apocalyptic number.

3747300480 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 3747300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815884480).

3747300480 is an abundant number, since it is smaller than the sum of its proper divisors (13884468480).

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

3747300480 is a wasteful number, since it uses less digits than its factorization.

3747300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3747300480 is about 61215.1981128870. The cubic root of 3747300480 is about 1553.2433618716.

The spelling of 3747300480 in words is "three billion, seven hundred forty-seven million, three hundred thousand, four hundred eighty".