3678253583340 has 960 divisors, whose sum is σ = 13213549440000. Its totient is φ = 761411266560.

The previous prime is 3678253583281. The next prime is 3678253583341. The reversal of 3678253583340 is 433853528763.

It is a happy number.

It is a hoax number, since the sum of its digits (57) 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 (57).

It is not an unprimeable number, because it can be changed into a prime (3678253583341) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11827181785 + ... + 11827182095.

It is an arithmetic number, because the mean of its divisors is an integer number (13764114000).

Almost surely, 2^{3678253583340} is an apocalyptic number.

3678253583340 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 3678253583340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606774720000).

3678253583340 is an abundant number, since it is smaller than the sum of its proper divisors (9535295856660).

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

3678253583340 is a wasteful number, since it uses less digits than its factorization.

3678253583340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 57.

The spelling of 3678253583340 in words is "three trillion, six hundred seventy-eight billion, two hundred fifty-three million, five hundred eighty-three thousand, three hundred forty".