3890040479520 has 576 divisors, whose sum is σ = 14501702315520. Its totient is φ = 870133727232.

The previous prime is 3890040479483. The next prime is 3890040479539. The reversal of 3890040479520 is 259740400983.

3890040479520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52260249 + ... + 52334631.

It is an arithmetic number, because the mean of its divisors is an integer number (25176566520).

Almost surely, 2^{3890040479520} is an apocalyptic number.

3890040479520 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 3890040479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250851157760).

3890040479520 is an abundant number, since it is smaller than the sum of its proper divisors (10611661836000).

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

3890040479520 is a wasteful number, since it uses less digits than its factorization.

3890040479520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74477 (or 74452 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 3890040479520 in words is "three trillion, eight hundred ninety billion, forty million, four hundred seventy-nine thousand, five hundred twenty".