3736978320480 has 96 divisors (see below), whose sum is σ = 11964456913248. Its totient is φ = 980191027200.

The previous prime is 3736978320437. The next prime is 3736978320487. The reversal of 3736978320480 is 840238796373.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736978320487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63785241 + ... + 63843800.

It is an arithmetic number, because the mean of its divisors is an integer number (124629759513).

Almost surely, 2^{3736978320480} is an apocalyptic number.

3736978320480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3736978320480 is an abundant number, since it is smaller than the sum of its proper divisors (8227478592768).

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

3736978320480 is a wasteful number, since it uses less digits than its factorization.

3736978320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127629120 (or 127629112 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 3736978320480 in words is "three trillion, seven hundred thirty-six billion, nine hundred seventy-eight million, three hundred twenty thousand, four hundred eighty".