3749999984640 has 1920 divisors, whose sum is σ = 16967287357440. Its totient is φ = 764411904000.

The previous prime is 3749999984629. The next prime is 3749999984651. The reversal of 3749999984640 is 464899999473.

3749999984640 is a `hidden beast` number, since 3 + 7 + 499 + 9 + 9 + 9 + 84 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3749999984629) and next prime (3749999984651).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 3749999984640.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6239600340 + ... + 6239600940.

It is an arithmetic number, because the mean of its divisors is an integer number (8837128832).

Almost surely, 2^{3749999984640} is an apocalyptic number.

3749999984640 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 3749999984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483643678720).

3749999984640 is an abundant number, since it is smaller than the sum of its proper divisors (13217287372800).

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

3749999984640 is a wasteful number, since it uses less digits than its factorization.

3749999984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 3749999984640 in words is "three trillion, seven hundred forty-nine billion, nine hundred ninety-nine million, nine hundred eighty-four thousand, six hundred forty".