3254168400 has 180 divisors, whose sum is σ = 12126313152. Its totient is φ = 743796480.

The previous prime is 3254168383. The next prime is 3254168413. The reversal of 3254168400 is 48614523.

3254168400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3254168400² = 21179223951117120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31129 + ... + 86471.

Almost surely, 2^3254168400 is an apocalyptic number.

3254168400 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 3254168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063156576).

3254168400 is an abundant number, since it is smaller than the sum of its proper divisors (8872144752).

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

3254168400 is a wasteful number, since it uses less digits than its factorization.

3254168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55378 (or 55360 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3254168400 is about 57045.3188263507. The cubic root of 3254168400 is about 1481.8810389668.

The spelling of 3254168400 in words is "three billion, two hundred fifty-four million, one hundred sixty-eight thousand, four hundred".