3658252862880 has 1152 divisors, whose sum is σ = 15844258160640. Its totient is φ = 746602168320.

The previous prime is 3658252862867. The next prime is 3658252862881. The reversal of 3658252862880 is 882682528563.

3658252862880 is a `hidden beast` number, since 3 + 6 + 5 + 8 + 2 + 528 + 6 + 28 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3658252862881) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1494993817 + ... + 1494996263.

It is an arithmetic number, because the mean of its divisors is an integer number (13753696320).

Almost surely, 2^{3658252862880} is an apocalyptic number.

3658252862880 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 3658252862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922129080320).

3658252862880 is an abundant number, since it is smaller than the sum of its proper divisors (12186005297760).

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

3658252862880 is a wasteful number, since it uses less digits than its factorization.

3658252862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 3658252862880 in words is "three trillion, six hundred fifty-eight billion, two hundred fifty-two million, eight hundred sixty-two thousand, eight hundred eighty".