3478760460 has 480 divisors, whose sum is σ = 13067163648. Its totient is φ = 758315520.

The previous prime is 3478760459. The next prime is 3478760477. The reversal of 3478760460 is 640678743.

3478760460 is a `hidden beast` number, since 34 + 7 + 8 + 7 + 604 + 6 + 0 = 666.

3478760460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32511727 + ... + 32511833.

Almost surely, 2^3478760460 is an apocalyptic number.

3478760460 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 3478760460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533581824).

3478760460 is an abundant number, since it is smaller than the sum of its proper divisors (9588403188).

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

3478760460 is a wasteful number, since it uses less digits than its factorization.

3478760460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3478760460 is about 58981.0177938631. The cubic root of 3478760460 is about 1515.2170260605.

The spelling of 3478760460 in words is "three billion, four hundred seventy-eight million, seven hundred sixty thousand, four hundred sixty".