3890690496000 has 3840 divisors, whose sum is σ = 19145657456640. Its totient is φ = 765904896000.

The previous prime is 3890690495999. The next prime is 3890690496029. The reversal of 3890690496000 is 6940960983.

It is a happy number.

3890690496000 is a `hidden beast` number, since 3 + 8 + 90 + 69 + 0 + 496 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 383 ways as a sum of consecutive naturals, for example, 204773183991 + ... + 204773184009.

It is an arithmetic number, because the mean of its divisors is an integer number (4985848296).

Almost surely, 2^{3890690496000} is an apocalyptic number.

3890690496000 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 3890690496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9572828728320).

3890690496000 is an abundant number, since it is smaller than the sum of its proper divisors (15254966960640).

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

3890690496000 is an frugal number, since it uses more digits than its factorization.

3890690496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 3890690496000 in words is "three trillion, eight hundred ninety billion, six hundred ninety million, four hundred ninety-six thousand".