3657122256480 has 1536 divisors, whose sum is σ = 15014578618368. Its totient is φ = 732510535680.

The previous prime is 3657122256467. The next prime is 3657122256509. The reversal of 3657122256480 is 846522217563.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26694322972 + ... + 26694323108.

It is an arithmetic number, because the mean of its divisors is an integer number (9775116288).

Almost surely, 2^{3657122256480} is an apocalyptic number.

3657122256480 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 3657122256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507289309184).

3657122256480 is an abundant number, since it is smaller than the sum of its proper divisors (11357456361888).

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

3657122256480 is a wasteful number, since it uses less digits than its factorization.

3657122256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 3657122256480 in words is "three trillion, six hundred fifty-seven billion, one hundred twenty-two million, two hundred fifty-six thousand, four hundred eighty".