1397964672 has 384 divisors, whose sum is σ = 4845204000. Its totient is φ = 383533056.

The previous prime is 1397964671. The next prime is 1397964677. The reversal of 1397964672 is 2764697931.

It is a happy number.

1397964672 is a `hidden beast` number, since 1 + 3 + 97 + 96 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (3429216) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1397964671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73577079 + ... + 73577097.

Almost surely, 2^1397964672 is an apocalyptic number.

1397964672 is a gapful number since it is divisible by the number (12) 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 1397964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422602000).

1397964672 is an abundant number, since it is smaller than the sum of its proper divisors (3447239328).

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

1397964672 is a wasteful number, since it uses less digits than its factorization.

1397964672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 1397964672 is about 37389.3657608684. The cubic root of 1397964672 is about 1118.1465603650.

The spelling of 1397964672 in words is "one billion, three hundred ninety-seven million, nine hundred sixty-four thousand, six hundred seventy-two".