3950098513920 has 1280 divisors, whose sum is σ = 15600782736000. Its totient is φ = 953986056192.

The previous prime is 3950098513909. The next prime is 3950098513937. The reversal of 3950098513920 is 293158900593.

3950098513920 is a `hidden beast` number, since 3 + 9 + 500 + 9 + 85 + 1 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 63 ways as a sum of consecutive naturals, for example, 74530160614 + ... + 74530160666.

Almost surely, 2^{3950098513920} is an apocalyptic number.

3950098513920 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 3950098513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800391368000).

3950098513920 is an abundant number, since it is smaller than the sum of its proper divisors (11650684222080).

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

3950098513920 is an frugal number, since it uses more digits than its factorization.

3950098513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 3950098513920 in words is "three trillion, nine hundred fifty billion, ninety-eight million, five hundred thirteen thousand, nine hundred twenty".