3742801920 has 672 divisors, whose sum is σ = 15457163904. Its totient is φ = 825753600.

The previous prime is 3742801913. The next prime is 3742801943. The reversal of 3742801920 is 291082473.

3742801920 is a `hidden beast` number, since 374 + 280 + 1 + 9 + 2 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 52715485 + ... + 52715555.

It is an arithmetic number, because the mean of its divisors is an integer number (23001732).

Almost surely, 2^3742801920 is an apocalyptic number.

3742801920 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 3742801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728581952).

3742801920 is an abundant number, since it is smaller than the sum of its proper divisors (11714361984).

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

3742801920 is a wasteful number, since it uses less digits than its factorization.

3742801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3742801920 is about 61178.4432623126. The cubic root of 3742801920 is about 1552.6215670245.

The spelling of 3742801920 in words is "three billion, seven hundred forty-two million, eight hundred one thousand, nine hundred twenty".