32681408400 has 405 divisors, whose sum is σ = 119470921297. Its totient is φ = 8272492800.

The previous prime is 32681408387. The next prime is 32681408407. The reversal of 32681408400 is 480418623.

The square root of 32681408400 is 180780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11765307024 + 20916101376 = 108468^2 + 144624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32681408407) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 249476335 + ... + 249476465.

Almost surely, 2^32681408400 is an apocalyptic number.

32681408400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32681408400 is the 180780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32681408400

32681408400 is an abundant number, since it is smaller than the sum of its proper divisors (86789512897).

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

32681408400 is a wasteful number, since it uses less digits than its factorization.

32681408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 32681408400 by its sum of digits (36), we get a square (1176530702400 = 1084680²).

32681408400 divided by its sum of digits (36) gives a square (907816900 = 30130²).

The spelling of 32681408400 in words is "thirty-two billion, six hundred eighty-one million, four hundred eight thousand, four hundred".