3753652320 has 576 divisors, whose sum is σ = 14865016320. Its totient is φ = 883491840.

The previous prime is 3753652271. The next prime is 3753652333. The reversal of 3753652320 is 232563573.

3753652320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 22476877 + ... + 22477043.

It is an arithmetic number, because the mean of its divisors is an integer number (25807320).

Almost surely, 2^3753652320 is an apocalyptic number.

3753652320 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 3753652320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432508160).

3753652320 is an abundant number, since it is smaller than the sum of its proper divisors (11111364000).

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

3753652320 is a wasteful number, since it uses less digits than its factorization.

3753652320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 3753652320 is about 61267.0573799656. The cubic root of 3753652320 is about 1554.1204718696.

The spelling of 3753652320 in words is "three billion, seven hundred fifty-three million, six hundred fifty-two thousand, three hundred twenty".