3477117920640 has 512 divisors, whose sum is σ = 13833177200640. Its totient is φ = 723298222080.

The previous prime is 3477117920611. The next prime is 3477117920663. The reversal of 3477117920640 is 460297117743.

It is a congruent number.

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, 12264972 + ... + 12545268.

It is an arithmetic number, because the mean of its divisors is an integer number (27017924220).

Almost surely, 2^{3477117920640} is an apocalyptic number.

3477117920640 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 3477117920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916588600320).

3477117920640 is an abundant number, since it is smaller than the sum of its proper divisors (10356059280000).

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

3477117920640 is a wasteful number, since it uses less digits than its factorization.

3477117920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280410 (or 280398 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 3477117920640 in words is "three trillion, four hundred seventy-seven billion, one hundred seventeen million, nine hundred twenty thousand, six hundred forty".