3991654080000 has 1400 divisors, whose sum is σ = 15215796524016. Its totient is φ = 1045094400000.

The previous prime is 3991654079981. The next prime is 3991654080091. The reversal of 3991654080000 is 804561993.

It is a happy number.

3991654080000 is a `hidden beast` number, since 3 + 99 + 16 + 540 + 8 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×3991654080000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 16562879880 + ... + 16562880120.

Almost surely, 2^{3991654080000} is an apocalyptic number.

3991654080000 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 3991654080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607898262008).

3991654080000 is an abundant number, since it is smaller than the sum of its proper divisors (11224142444016).

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

3991654080000 is an frugal number, since it uses more digits than its factorization.

3991654080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 3991654080000 in words is "three trillion, nine hundred ninety-one billion, six hundred fifty-four million, eighty thousand".