3749858146944 has 448 divisors, whose sum is σ = 13785270656640. Its totient is φ = 988971337728.

The previous prime is 3749858146927. The next prime is 3749858146973. The reversal of 3749858146944 is 4496418589473.

3749858146944 is a `hidden beast` number, since 3 + 7 + 4 + 9 + 85 + 81 + 469 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3749858146944² (a number of 26 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 8270589 + ... + 8712195.

It is an arithmetic number, because the mean of its divisors is an integer number (30770693430).

Almost surely, 2^{3749858146944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749858146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892635328320).

3749858146944 is an abundant number, since it is smaller than the sum of its proper divisors (10035412509696).

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

3749858146944 is an equidigital number, since it uses as much as digits as its factorization.

3749858146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441659 (or 441632 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 3749858146944 in words is "three trillion, seven hundred forty-nine billion, eight hundred fifty-eight million, one hundred forty-six thousand, nine hundred forty-four".