3751234560 has 264 divisors, whose sum is σ = 13120713216. Its totient is φ = 990904320.

The previous prime is 3751234549. The next prime is 3751234667. The reversal of 3751234560 is 654321573.

3751234560 is a `hidden beast` number, since 3 + 75 + 1 + 23 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5851840 + ... + 5852480.

Almost surely, 2^3751234560 is an apocalyptic number.

3751234560 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 3751234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560356608).

3751234560 is an abundant number, since it is smaller than the sum of its proper divisors (9369478656).

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

3751234560 is a wasteful number, since it uses less digits than its factorization.

3751234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3751234560 is about 61247.3228802696. The cubic root of 3751234560 is about 1553.7867260469.

The spelling of 3751234560 in words is "three billion, seven hundred fifty-one million, two hundred thirty-four thousand, five hundred sixty".