3478264416 has 120 divisors (see below), whose sum is σ = 11159523144. Its totient is φ = 1054010880.

The previous prime is 3478264411. The next prime is 3478264417. The reversal of 3478264416 is 6144628743.

3478264416 is a `hidden beast` number, since 347 + 8 + 264 + 41 + 6 = 666.

It is a super-2 number, since 2×3478264416² = 24196646695223642112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478264411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32485 + ... + 89508.

Almost surely, 2^3478264416 is an apocalyptic number.

3478264416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3478264416 is an abundant number, since it is smaller than the sum of its proper divisors (7681258728).

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

3478264416 is a wasteful number, since it uses less digits than its factorization.

3478264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122026 (or 122009 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3478264416 is about 58976.8125283149. The cubic root of 3478264416 is about 1515.1450032762.

The spelling of 3478264416 in words is "three billion, four hundred seventy-eight million, two hundred sixty-four thousand, four hundred sixteen".