13347940032 has 336 divisors, whose sum is σ = 45315908352. Its totient is φ = 3676907520.

The previous prime is 13347940007. The next prime is 13347940057. The reversal of 13347940032 is 23004974331.

It is an interprime number because it is at equal distance from previous prime (13347940007) and next prime (13347940057).

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

It is a super-2 number, since 2×13347940032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19542763 + ... + 19543445.

Almost surely, 2^13347940032 is an apocalyptic number.

13347940032 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 13347940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657954176).

13347940032 is an abundant number, since it is smaller than the sum of its proper divisors (31967968320).

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

13347940032 is a wasteful number, since it uses less digits than its factorization.

13347940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13347940032 in words is "thirteen billion, three hundred forty-seven million, nine hundred forty thousand, thirty-two".