3478663476288 has 1512 divisors, whose sum is σ = 14010927211008. Its totient is φ = 806547456000.

The previous prime is 3478663476227. The next prime is 3478663476313. The reversal of 3478663476288 is 8826743668743.

3478663476288 is a `hidden beast` number, since 3 + 4 + 78 + 6 + 6 + 3 + 476 + 2 + 88 = 666.

It is a super-2 number, since 2×3478663476288² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2555960728 + ... + 2555962088.

Almost surely, 2^{3478663476288} 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 3478663476288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005463605504).

3478663476288 is an abundant number, since it is smaller than the sum of its proper divisors (10532263734720).

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

3478663476288 is a wasteful number, since it uses less digits than its factorization.

3478663476288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1428 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 3478663476288 in words is "three trillion, four hundred seventy-eight billion, six hundred sixty-three million, four hundred seventy-six thousand, two hundred eighty-eight".