3765294720 has 768 divisors, whose sum is σ = 15397724160. Its totient is φ = 870912000.

The previous prime is 3765294719. The next prime is 3765294763. The reversal of 3765294720 is 274925673.

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 95 ways as a sum of consecutive naturals, for example, 53032285 + ... + 53032355.

It is an arithmetic number, because the mean of its divisors is an integer number (20049120).

It is a vampire number, since it can be written as 47520 ⋅ 79236 (with its own digits).

Almost surely, 2^3765294720 is an apocalyptic number.

3765294720 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 3765294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698862080).

3765294720 is an abundant number, since it is smaller than the sum of its proper divisors (11632429440).

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

3765294720 is a wasteful number, since it uses less digits than its factorization.

3765294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

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

The square root of 3765294720 is about 61361.9973599295. The cubic root of 3765294720 is about 1555.7255768205.

The spelling of 3765294720 in words is "three billion, seven hundred sixty-five million, two hundred ninety-four thousand, seven hundred twenty".