3759445185552 has 320 divisors, whose sum is σ = 12448480944640. Its totient is φ = 1064073314304.

The previous prime is 3759445185547. The next prime is 3759445185583. The reversal of 3759445185552 is 2555815449573.

It is a happy number.

3759445185552 is a `hidden beast` number, since 3 + 7 + 5 + 9 + 445 + 185 + 5 + 5 + 2 = 666.

It is a super-2 number, since 2×3759445185552² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3759445185552.

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, 159985068 + ... + 160008564.

It is an arithmetic number, because the mean of its divisors is an integer number (38901502952).

Almost surely, 2^{3759445185552} 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 3759445185552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224240472320).

3759445185552 is an abundant number, since it is smaller than the sum of its proper divisors (8689035759088).

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

3759445185552 is a wasteful number, since it uses less digits than its factorization.

3759445185552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24015 (or 24003 counting only the distinct ones).

The product of its digits is 151200000, while the sum is 63.

The spelling of 3759445185552 in words is "three trillion, seven hundred fifty-nine billion, four hundred forty-five million, one hundred eighty-five thousand, five hundred fifty-two".