3496884480 has 144 divisors (see below), whose sum is σ = 12409205760. Its totient is φ = 932493312.

The previous prime is 3496884473. The next prime is 3496884527. The reversal of 3496884480 is 844886943.

3496884480 is a `hidden beast` number, since 34 + 96 + 88 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16032 + ... + 85151.

It is an arithmetic number, because the mean of its divisors is an integer number (86175040).

Almost surely, 2^3496884480 is an apocalyptic number.

3496884480 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 3496884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204602880).

3496884480 is an abundant number, since it is smaller than the sum of its proper divisors (8912321280).

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

3496884480 is a wasteful number, since it uses less digits than its factorization.

3496884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101213 (or 101193 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3496884480 is about 59134.4610189355. The cubic root of 3496884480 is about 1517.8438496444.

The spelling of 3496884480 in words is "three billion, four hundred ninety-six million, eight hundred eighty-four thousand, four hundred eighty".