3756482795520 has 1152 divisors, whose sum is σ = 16078087509120. Its totient is φ = 789892300800.

The previous prime is 3756482795491. The next prime is 3756482795543. The reversal of 3756482795520 is 255972846573.

3756482795520 is a `hidden beast` number, since 3 + 7 + 5 + 6 + 4 + 8 + 2 + 79 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×3756482795520³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3363010002 + ... + 3363011118.

It is an arithmetic number, because the mean of its divisors is an integer number (13956673185).

Almost surely, 2^{3756482795520} is an apocalyptic number.

3756482795520 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 3756482795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039043754560).

3756482795520 is an abundant number, since it is smaller than the sum of its proper divisors (12321604713600).

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

3756482795520 is a wasteful number, since it uses less digits than its factorization.

3756482795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 3756482795520 in words is "three trillion, seven hundred fifty-six billion, four hundred eighty-two million, seven hundred ninety-five thousand, five hundred twenty".