3452096102400 has 1260 divisors, whose sum is σ = 14015723550864. Its totient is φ = 836075520000.

The previous prime is 3452096102381. The next prime is 3452096102407. The reversal of 3452096102400 is 42016902543.

It is a happy number.

3452096102400 is a `hidden beast` number, since 3 + 4 + 520 + 96 + 1 + 0 + 2 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3452096102407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3284581875 + ... + 3284582925.

Almost surely, 2^{3452096102400} is an apocalyptic number.

3452096102400 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 3452096102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007861775432).

3452096102400 is an abundant number, since it is smaller than the sum of its proper divisors (10563627448464).

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

3452096102400 is an equidigital number, since it uses as much as digits as its factorization.

3452096102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3452096102400 in words is "three trillion, four hundred fifty-two billion, ninety-six million, one hundred two thousand, four hundred".