3724423920 has 360 divisors, whose sum is σ = 15190959264. Its totient is φ = 800907264.

The previous prime is 3724423907. The next prime is 3724423933. The reversal of 3724423920 is 293244273.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3724423907) and next prime (3724423933).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1455282 + ... + 1457838.

Almost surely, 2^3724423920 is an apocalyptic number.

3724423920 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 3724423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595479632).

3724423920 is an abundant number, since it is smaller than the sum of its proper divisors (11466535344).

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

3724423920 is a wasteful number, since it uses less digits than its factorization.

3724423920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3724423920 is about 61028.0584649389. The cubic root of 3724423920 is about 1550.0761558142.

The spelling of 3724423920 in words is "three billion, seven hundred twenty-four million, four hundred twenty-three thousand, nine hundred twenty".