3922873920 has 336 divisors, whose sum is σ = 15920606208. Its totient is φ = 867594240.

The previous prime is 3922873907. The next prime is 3922873939. The reversal of 3922873920 is 293782293.

3922873920 is a `hidden beast` number, since 39 + 228 + 7 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 621822 + ... + 628098.

Almost surely, 2^3922873920 is an apocalyptic number.

3922873920 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 3922873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960303104).

3922873920 is an abundant number, since it is smaller than the sum of its proper divisors (11997732288).

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

3922873920 is a wasteful number, since it uses less digits than its factorization.

3922873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3922873920 is about 62632.8501666657. The cubic root of 3922873920 is about 1577.1322654343.

The spelling of 3922873920 in words is "three billion, nine hundred twenty-two million, eight hundred seventy-three thousand, nine hundred twenty".