3994973136 has 800 divisors, whose sum is σ = 15844224000. Its totient is φ = 960180480.

The previous prime is 3994973119. The next prime is 3994973137. The reversal of 3994973136 is 6313794993.

3994973136 is a `hidden beast` number, since 3 + 99 + 497 + 31 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3994973137) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92906331 + ... + 92906373.

It is an arithmetic number, because the mean of its divisors is an integer number (19805280).

Almost surely, 2^3994973136 is an apocalyptic number.

3994973136 is a gapful number since it is divisible by the number (36) 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 3994973136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922112000).

3994973136 is an abundant number, since it is smaller than the sum of its proper divisors (11849250864).

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

3994973136 is a wasteful number, since it uses less digits than its factorization.

3994973136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The square root of 3994973136 is about 63205.7998604558. The cubic root of 3994973136 is about 1586.7358024469.

The spelling of 3994973136 in words is "three billion, nine hundred ninety-four million, nine hundred seventy-three thousand, one hundred thirty-six".