3428988116400 has 360 divisors, whose sum is σ = 14835792900864. Its totient is φ = 712516953600.

The previous prime is 3428988116347. The next prime is 3428988116447. The reversal of 3428988116400 is 46118898243.

It is a happy number.

3428988116400 is a `hidden beast` number, since 3 + 42 + 8 + 9 + 88 + 116 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5907844 + ... + 6462243.

Almost surely, 2^{3428988116400} is an apocalyptic number.

3428988116400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428988116400 is an abundant number, since it is smaller than the sum of its proper divisors (11406804784464).

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

3428988116400 is a wasteful number, since it uses less digits than its factorization.

3428988116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370129 (or 12370115 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 3428988116400 in words is "three trillion, four hundred twenty-eight billion, nine hundred eighty-eight million, one hundred sixteen thousand, four hundred".