3261487647600 has 1800 divisors, whose sum is σ = 15063520747968. Its totient is φ = 669382963200.

The previous prime is 3261487647589. The next prime is 3261487647619. The reversal of 3261487647600 is 67467841623.

3261487647600 is a `hidden beast` number, since 3 + 2 + 61 + 48 + 76 + 476 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 763633465 + ... + 763637735.

Almost surely, 2^{3261487647600} is an apocalyptic number.

3261487647600 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 3261487647600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531760373984).

3261487647600 is an abundant number, since it is smaller than the sum of its proper divisors (11802033100368).

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

3261487647600 is a wasteful number, since it uses less digits than its factorization.

3261487647600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3261487647600 in words is "three trillion, two hundred sixty-one billion, four hundred eighty-seven million, six hundred forty-seven thousand, six hundred".