3752745920 has 448 divisors, whose sum is σ = 12219310080. Its totient is φ = 1065369600.

The previous prime is 3752745901. The next prime is 3752745947. The reversal of 3752745920 is 295472573.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121056305 + ... + 121056335.

Almost surely, 2^3752745920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3752745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109655040).

3752745920 is an abundant number, since it is smaller than the sum of its proper divisors (8466564160).

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

3752745920 is a wasteful number, since it uses less digits than its factorization.

3752745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 44.

The square root of 3752745920 is about 61259.6598096986. The cubic root of 3752745920 is about 1553.9953698735.

The spelling of 3752745920 in words is "three billion, seven hundred fifty-two million, seven hundred forty-five thousand, nine hundred twenty".