3982088355840 has 2160 divisors, whose sum is σ = 17755670814336. Its totient is φ = 835757015040.

The previous prime is 3982088355809. The next prime is 3982088355853. The reversal of 3982088355840 is 485538802893.

3982088355840 is a `hidden beast` number, since 39 + 8 + 2 + 0 + 8 + 8 + 3 + 558 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97124106220 + ... + 97124106260.

Almost surely, 2^{3982088355840} is an apocalyptic number.

3982088355840 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 3982088355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8877835407168).

3982088355840 is an abundant number, since it is smaller than the sum of its proper divisors (13773582458496).

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

3982088355840 is an frugal number, since it uses more digits than its factorization.

3982088355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 3982088355840 in words is "three trillion, nine hundred eighty-two billion, eighty-eight million, three hundred fifty-five thousand, eight hundred forty".