3678025274742 has 256 divisors, whose sum is σ = 10104932597760. Its totient is φ = 863697364992.

The previous prime is 3678025274699. The next prime is 3678025274753. The reversal of 3678025274742 is 2474725208763.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128197923 + ... + 128226609.

It is an arithmetic number, because the mean of its divisors is an integer number (39472392960).

Almost surely, 2^{3678025274742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678025274742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052466298880).

3678025274742 is an abundant number, since it is smaller than the sum of its proper divisors (6426907323018).

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

3678025274742 is a wasteful number, since it uses less digits than its factorization.

3678025274742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29475.

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 3678025274742 in words is "three trillion, six hundred seventy-eight billion, twenty-five million, two hundred seventy-four thousand, seven hundred forty-two".