1972338368 has 224 divisors, whose sum is σ = 5567159808. Its totient is φ = 667238400.

The previous prime is 1972338359. The next prime is 1972338371. The reversal of 1972338368 is 8638332791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088183 + ... + 1089993.

It is an arithmetic number, because the mean of its divisors is an integer number (24853392).

Almost surely, 2^1972338368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783579904).

1972338368 is an abundant number, since it is smaller than the sum of its proper divisors (3594821440).

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

1972338368 is a wasteful number, since it uses less digits than its factorization.

1972338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1861 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 50.

The square root of 1972338368 is about 44411.0162910060. The cubic root of 1972338368 is about 1254.0854843466.

The spelling of 1972338368 in words is "one billion, nine hundred seventy-two million, three hundred thirty-eight thousand, three hundred sixty-eight".