3751958880 has 336 divisors, whose sum is σ = 13997657520. Its totient is φ = 947303424.

The previous prime is 3751958867. The next prime is 3751958887. The reversal of 3751958880 is 888591573.

3751958880 is a `hidden beast` number, since 3 + 7 + 51 + 9 + 588 + 8 + 0 = 666.

3751958880 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3751958887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2215314 + ... + 2217006.

It is an arithmetic number, because the mean of its divisors is an integer number (41659695).

Almost surely, 2^3751958880 is an apocalyptic number.

3751958880 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 3751958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998828760).

3751958880 is an abundant number, since it is smaller than the sum of its proper divisors (10245698640).

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

3751958880 is a wasteful number, since it uses less digits than its factorization.

3751958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The square root of 3751958880 is about 61253.2356696363. The cubic root of 3751958880 is about 1553.8867256919.

The spelling of 3751958880 in words is "three billion, seven hundred fifty-one million, nine hundred fifty-eight thousand, eight hundred eighty".