3479603400 has 768 divisors, whose sum is σ = 15107366400. Its totient is φ = 716636160.

The previous prime is 3479603389. The next prime is 3479603423. The reversal of 3479603400 is 43069743.

3479603400 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 603 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35872152 + ... + 35872248.

It is an arithmetic number, because the mean of its divisors is an integer number (19671050).

Almost surely, 2^3479603400 is an apocalyptic number.

3479603400 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 3479603400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553683200).

3479603400 is an abundant number, since it is smaller than the sum of its proper divisors (11627763000).

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

3479603400 is a wasteful number, since it uses less digits than its factorization.

3479603400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3479603400 is about 58988.1632194121. The cubic root of 3479603400 is about 1515.3394004815.

The spelling of 3479603400 in words is "three billion, four hundred seventy-nine million, six hundred three thousand, four hundred".