3480672254400 has 1260 divisors, whose sum is σ = 14155222429656. Its totient is φ = 838268006400.

The previous prime is 3480672254369. The next prime is 3480672254413. The reversal of 3480672254400 is 44522760843.

It is a happy number.

3480672254400 is a `hidden beast` number, since 3 + 4 + 80 + 6 + 7 + 22 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2712916159 + ... + 2712917441.

Almost surely, 2^{3480672254400} is an apocalyptic number.

3480672254400 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 3480672254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077611214828).

3480672254400 is an abundant number, since it is smaller than the sum of its proper divisors (10674550175256).

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

3480672254400 is a wasteful number, since it uses less digits than its factorization.

3480672254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 3480672254400 in words is "three trillion, four hundred eighty billion, six hundred seventy-two million, two hundred fifty-four thousand, four hundred".