13490733600 has 288 divisors, whose sum is σ = 48918744000. Its totient is φ = 3588157440.

The previous prime is 13490733593. The next prime is 13490733617. The reversal of 13490733600 is 633709431.

13490733600 is a `hidden beast` number, since 1 + 3 + 49 + 0 + 7 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 13369896 + ... + 13370904.

It is an arithmetic number, because the mean of its divisors is an integer number (169856750).

Almost surely, 2^13490733600 is an apocalyptic number.

13490733600 is a gapful number since it is divisible by the number (10) 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 13490733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24459372000).

13490733600 is an abundant number, since it is smaller than the sum of its proper divisors (35428010400).

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

13490733600 is a wasteful number, since it uses less digits than its factorization.

13490733600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 13490733600 in words is "thirteen billion, four hundred ninety million, seven hundred thirty-three thousand, six hundred".