3753200640 has 352 divisors, whose sum is σ = 13950779904. Its totient is φ = 843448320.

The previous prime is 3753200629. The next prime is 3753200657. The reversal of 3753200640 is 460023573.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3753200598 and 3753200607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7203580 + ... + 7204100.

Almost surely, 2^3753200640 is an apocalyptic number.

3753200640 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 3753200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6975389952).

3753200640 is an abundant number, since it is smaller than the sum of its proper divisors (10197579264).

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

3753200640 is a wasteful number, since it uses less digits than its factorization.

3753200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 3753200640 is about 61263.3711119458. The cubic root of 3753200640 is about 1554.0581331807.

The spelling of 3753200640 in words is "three billion, seven hundred fifty-three million, two hundred thousand, six hundred forty".