3264254400 has 336 divisors, whose sum is σ = 11778496128. Its totient is φ = 784896000.

The previous prime is 3264254393. The next prime is 3264254407. The reversal of 3264254400 is 44524623.

It is an interprime number because it is at equal distance from previous prime (3264254393) and next prime (3264254407).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3264254407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11140654 + ... + 11140946.

It is an arithmetic number, because the mean of its divisors is an integer number (35055048).

Almost surely, 2^3264254400 is an apocalyptic number.

3264254400 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 3264254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889248064).

3264254400 is an abundant number, since it is smaller than the sum of its proper divisors (8514241728).

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

3264254400 is a wasteful number, since it uses less digits than its factorization.

3264254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3264254400 is about 57133.6538302952. The cubic root of 3264254400 is about 1483.4104452891.

The spelling of 3264254400 in words is "three billion, two hundred sixty-four million, two hundred fifty-four thousand, four hundred".