3986357760000 has 3120 divisors, whose sum is σ = 18902872644480. Its totient is φ = 820592640000.

The previous prime is 3986357759971. The next prime is 3986357760109. The reversal of 3986357760000 is 677536893.

3986357760000 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 3 + 577 + 60 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37255679947 + ... + 37255680053.

Almost surely, 2^{3986357760000} is an apocalyptic number.

3986357760000 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 3986357760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9451436322240).

3986357760000 is an abundant number, since it is smaller than the sum of its proper divisors (14916514884480).

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

3986357760000 is a wasteful number, since it uses less digits than its factorization.

3986357760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 3986357760000 in words is "three trillion, nine hundred eighty-six billion, three hundred fifty-seven million, seven hundred sixty thousand".