3477057136840 has 512 divisors, whose sum is σ = 9654847488000. Its totient is φ = 1101884829696.

The previous prime is 3477057136793. The next prime is 3477057136873. The reversal of 3477057136840 is 486317507743.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3920018877 + ... + 3920019763.

It is an arithmetic number, because the mean of its divisors is an integer number (18857124000).

Almost surely, 2^{3477057136840} 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 3477057136840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827423744000).

3477057136840 is an abundant number, since it is smaller than the sum of its proper divisors (6177790351160).

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

3477057136840 is a wasteful number, since it uses less digits than its factorization.

3477057136840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 55.

The spelling of 3477057136840 in words is "three trillion, four hundred seventy-seven billion, fifty-seven million, one hundred thirty-six thousand, eight hundred forty".