3752820720 has 800 divisors, whose sum is σ = 15945050880. Its totient is φ = 806215680.

The previous prime is 3752820713. The next prime is 3752820761. The reversal of 3752820720 is 270282573.

It is a happy number.

3752820720 is a `hidden beast` number, since 375 + 282 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×3752820720² = 28167326712922636800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23023359 + ... + 23023521.

Almost surely, 2^3752820720 is an apocalyptic number.

3752820720 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 3752820720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7972525440).

3752820720 is an abundant number, since it is smaller than the sum of its proper divisors (12192230160).

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

3752820720 is a wasteful number, since it uses less digits than its factorization.

3752820720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3752820720 is about 61260.2703226161. The cubic root of 3752820720 is about 1554.0056945871.

The spelling of 3752820720 in words is "three billion, seven hundred fifty-two million, eight hundred twenty thousand, seven hundred twenty".