3952090275840 has 1792 divisors, whose sum is σ = 17139396556800. Its totient is φ = 843910742016.

The previous prime is 3952090275829. The next prime is 3952090275871. The reversal of 3952090275840 is 485720902593.

3952090275840 is a `hidden beast` number, since 3 + 9 + 52 + 0 + 9 + 0 + 2 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14267473782 + ... + 14267474058.

It is an arithmetic number, because the mean of its divisors is an integer number (9564395400).

Almost surely, 2^{3952090275840} is an apocalyptic number.

3952090275840 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 3952090275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8569698278400).

3952090275840 is an abundant number, since it is smaller than the sum of its proper divisors (13187306280960).

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

3952090275840 is a wasteful number, since it uses less digits than its factorization.

3952090275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3952090275840 in words is "three trillion, nine hundred fifty-two billion, ninety million, two hundred seventy-five thousand, eight hundred forty".