3997123416 has 256 divisors, whose sum is σ = 13145932800. Its totient is φ = 1109376000.

The previous prime is 3997123409. The next prime is 3997123433. The reversal of 3997123416 is 6143217993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4663660 + ... + 4664516.

It is an arithmetic number, because the mean of its divisors is an integer number (51351300).

Almost surely, 2^3997123416 is an apocalyptic number.

3997123416 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 3997123416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572966400).

3997123416 is an abundant number, since it is smaller than the sum of its proper divisors (9148809384).

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

3997123416 is a wasteful number, since it uses less digits than its factorization.

3997123416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3997123416 is about 63222.8077199993. The cubic root of 3997123416 is about 1587.0204363419.

The spelling of 3997123416 in words is "three billion, nine hundred ninety-seven million, one hundred twenty-three thousand, four hundred sixteen".