3235226786400 has 1152 divisors, whose sum is σ = 12858568998912. Its totient is φ = 690923520000.

The previous prime is 3235226786371. The next prime is 3235226786443. The reversal of 3235226786400 is 46876225323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3235226786400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2199337665 + ... + 2199339135.

It is an arithmetic number, because the mean of its divisors is an integer number (11161952256).

Almost surely, 2^{3235226786400} is an apocalyptic number.

3235226786400 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 3235226786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429284499456).

3235226786400 is an abundant number, since it is smaller than the sum of its proper divisors (9623342212512).

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

3235226786400 is a wasteful number, since it uses less digits than its factorization.

3235226786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 3235226786400 in words is "three trillion, two hundred thirty-five billion, two hundred twenty-six million, seven hundred eighty-six thousand, four hundred".