13734938880 has 576 divisors, whose sum is σ = 55286112000. Its totient is φ = 3200974848.

The previous prime is 13734938879. The next prime is 13734938929. The reversal of 13734938880 is 8883943731.

13734938880 is a `hidden beast` number, since 1 + 3 + 73 + 493 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8535516 + ... + 8537124.

Almost surely, 2^13734938880 is an apocalyptic number.

13734938880 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 13734938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27643056000).

13734938880 is an abundant number, since it is smaller than the sum of its proper divisors (41551173120).

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

13734938880 is a wasteful number, since it uses less digits than its factorization.

13734938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13734938880 in words is "thirteen billion, seven hundred thirty-four million, nine hundred thirty-eight thousand, eight hundred eighty".