3751345920 has 216 divisors, whose sum is σ = 13937619024. Its totient is φ = 857407488.

The previous prime is 3751345909. The next prime is 3751345933. The reversal of 3751345920 is 295431573.

It is a happy number.

It is a congruent number.

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, 178192 + ... + 198128.

It is an arithmetic number, because the mean of its divisors is an integer number (64526014).

Almost surely, 2^3751345920 is an apocalyptic number.

3751345920 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 3751345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968809512).

3751345920 is an abundant number, since it is smaller than the sum of its proper divisors (10186273104).

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

3751345920 is a wasteful number, since it uses less digits than its factorization.

3751345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19975 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 3751345920 is about 61248.2319744823. The cubic root of 3751345920 is about 1553.8021012498.

The spelling of 3751345920 in words is "three billion, seven hundred fifty-one million, three hundred forty-five thousand, nine hundred twenty".