3734879910720 has 1344 divisors, whose sum is σ = 15012253440000. Its totient is φ = 768293683200.

The previous prime is 3734879910691. The next prime is 3734879910733. The reversal of 3734879910720 is 270199784373.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7484729031 + ... + 7484729529.

Almost surely, 2^{3734879910720} is an apocalyptic number.

3734879910720 is a gapful number since it is divisible by the number (30) 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 3734879910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506126720000).

3734879910720 is an abundant number, since it is smaller than the sum of its proper divisors (11277373529280).

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

3734879910720 is a wasteful number, since it uses less digits than its factorization.

3734879910720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 3734879910720 in words is "three trillion, seven hundred thirty-four billion, eight hundred seventy-nine million, nine hundred ten thousand, seven hundred twenty".