3478265449680 has 320 divisors, whose sum is σ = 13159157760000. Its totient is φ = 742855034880.

The previous prime is 3478265449669. The next prime is 3478265449693. The reversal of 3478265449680 is 869445628743.

It is a super-2 number, since 2×3478265449680² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) 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 63 ways as a sum of consecutive naturals, for example, 358821 + ... + 2661819.

It is an arithmetic number, because the mean of its divisors is an integer number (41122368000).

Almost surely, 2^{3478265449680} is an apocalyptic number.

3478265449680 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 3478265449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579578880000).

3478265449680 is an abundant number, since it is smaller than the sum of its proper divisors (9680892310320).

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

3478265449680 is a wasteful number, since it uses less digits than its factorization.

3478265449680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303082 (or 2303076 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 3478265449680 in words is "three trillion, four hundred seventy-eight billion, two hundred sixty-five million, four hundred forty-nine thousand, six hundred eighty".