3765294720000 has 2640 divisors, whose sum is σ = 16089182613504. Its totient is φ = 870912000000.

The previous prime is 3765294719981. The next prime is 3765294720017. The reversal of 3765294720000 is 274925673.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53032319965 + ... + 53032320035.

Almost surely, 2^{3765294720000} is an apocalyptic number.

3765294720000 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 3765294720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044591306752).

3765294720000 is an abundant number, since it is smaller than the sum of its proper divisors (12323887893504).

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

3765294720000 is an equidigital number, since it uses as much as digits as its factorization.

3765294720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 3765294720000 in words is "three trillion, seven hundred sixty-five billion, two hundred ninety-four million, seven hundred twenty thousand".