3448120464900 has 108 divisors (see below), whose sum is σ = 10808291305812. Its totient is φ = 919469076480.

The previous prime is 3448120464881. The next prime is 3448120464907. The reversal of 3448120464900 is 94640218443.

3448120464900 is a `hidden beast` number, since 3 + 4 + 4 + 81 + 20 + 464 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 613530691524 + 2834589773376 = 783282^2 + 1683624^2 .

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 (3448120464907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54790252 + ... + 54853148.

Almost surely, 2^{3448120464900} is an apocalyptic number.

3448120464900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3448120464900 is an abundant number, since it is smaller than the sum of its proper divisors (7360170840912).

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

3448120464900 is a wasteful number, since it uses less digits than its factorization.

3448120464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123830 (or 123820 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3448120464900 in words is "three trillion, four hundred forty-eight billion, one hundred twenty million, four hundred sixty-four thousand, nine hundred".