3758274720 has 384 divisors, whose sum is σ = 13771296000. Its totient is φ = 956067840.

The previous prime is 3758274703. The next prime is 3758274731. The reversal of 3758274720 is 274728573.

3758274720 is a `hidden beast` number, since 3 + 7 + 582 + 7 + 47 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 16411566 + ... + 16411794.

It is an arithmetic number, because the mean of its divisors is an integer number (35862750).

Almost surely, 2^3758274720 is an apocalyptic number.

3758274720 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 3758274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885648000).

3758274720 is an abundant number, since it is smaller than the sum of its proper divisors (10013021280).

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

3758274720 is a wasteful number, since it uses less digits than its factorization.

3758274720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3758274720 is about 61304.7691456383. The cubic root of 3758274720 is about 1554.7581458894.

The spelling of 3758274720 in words is "three billion, seven hundred fifty-eight million, two hundred seventy-four thousand, seven hundred twenty".