3745142820 has 72 divisors (see below), whose sum is σ = 11958186240. Its totient is φ = 946140480.

The previous prime is 3745142771. The next prime is 3745142851. The reversal of 3745142820 is 282415473.

It is a happy number.

3745142820 is a `hidden beast` number, since 374 + 5 + 1 + 4 + 282 + 0 = 666.

3745142820 is digitally balanced in base 2 and base 4, because in such bases 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 (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, 544116 + ... + 550955.

It is an arithmetic number, because the mean of its divisors is an integer number (166085920).

Almost surely, 2^3745142820 is an apocalyptic number.

3745142820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3745142820 is an abundant number, since it is smaller than the sum of its proper divisors (8213043420).

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

3745142820 is a wasteful number, since it uses less digits than its factorization.

3745142820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095105 (or 1095100 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3745142820 is about 61197.5720106607. The cubic root of 3745142820 is about 1552.9451903812.

The spelling of 3745142820 in words is "three billion, seven hundred forty-five million, one hundred forty-two thousand, eight hundred twenty".