3749899345920 has 1344 divisors, whose sum is σ = 16704966579840. Its totient is φ = 791038918656.

The previous prime is 3749899345883. The next prime is 3749899345993. The reversal of 3749899345920 is 295439989473.

3749899345920 is a `hidden beast` number, since 3 + 7 + 4 + 9 + 89 + 93 + 459 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704468379 + ... + 704473701.

It is an arithmetic number, because the mean of its divisors is an integer number (12429290610).

Almost surely, 2^{3749899345920} is an apocalyptic number.

3749899345920 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 3749899345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352483289920).

3749899345920 is an abundant number, since it is smaller than the sum of its proper divisors (12955067233920).

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

3749899345920 is a wasteful number, since it uses less digits than its factorization.

3749899345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 3749899345920 in words is "three trillion, seven hundred forty-nine billion, eight hundred ninety-nine million, three hundred forty-five thousand, nine hundred twenty".