3484012800 has 108 divisors (see below), whose sum is σ = 11498031440. Its totient is φ = 929064960.

The previous prime is 3484012787. The next prime is 3484012853. The reversal of 3484012800 is 82104843.

It is a super-3 number, since 3×3484012800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71530 + ... + 109929.

Almost surely, 2^3484012800 is an apocalyptic number.

3484012800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3484012800 is an abundant number, since it is smaller than the sum of its proper divisors (8014018640).

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

3484012800 is a wasteful number, since it uses less digits than its factorization.

3484012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181488 (or 181469 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 3484012800 is about 59025.5266812588. The cubic root of 3484012800 is about 1515.9792164197.

The spelling of 3484012800 in words is "three billion, four hundred eighty-four million, twelve thousand, eight hundred".