3479774400 has 126 divisors (see below), whose sum is σ = 12367991012. Its totient is φ = 927936000.

The previous prime is 3479774371. The next prime is 3479774401. The reversal of 3479774400 is 44779743.

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

It is not an unprimeable number, because it can be changed into a prime (3479774401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106426 + ... + 135225.

Almost surely, 2^3479774400 is an apocalyptic number.

3479774400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3479774400 is an abundant number, since it is smaller than the sum of its proper divisors (8888216612).

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

3479774400 is a wasteful number, since it uses less digits than its factorization.

3479774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241679 (or 241661 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 3479774400 is about 58989.6126449394. The cubic root of 3479774400 is about 1515.3642231181.

The spelling of 3479774400 in words is "three billion, four hundred seventy-nine million, seven hundred seventy-four thousand, four hundred".