3287137838400 has 504 divisors, whose sum is σ = 12922057273944. Its totient is φ = 787271270400.

The previous prime is 3287137838399. The next prime is 3287137838401. The reversal of 3287137838400 is 48387317823.

It is a happy number.

3287137838400 is a `hidden beast` number, since 3 + 28 + 7 + 137 + 83 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3287137838399) and next prime (3287137838401).

It can be written as a sum of positive squares in 12 ways, for example, as 1662614251776 + 1624523586624 = 1289424^2 + 1274568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287137838401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6689110 + ... + 7163690.

Almost surely, 2^{3287137838400} is an apocalyptic number.

3287137838400 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 3287137838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461028636972).

3287137838400 is an abundant number, since it is smaller than the sum of its proper divisors (9634919435544).

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

3287137838400 is a wasteful number, since it uses less digits than its factorization.

3287137838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474659 (or 474641 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3287137838400 in words is "three trillion, two hundred eighty-seven billion, one hundred thirty-seven million, eight hundred thirty-eight thousand, four hundred".