3970599678000 has 480 divisors, whose sum is σ = 14111746593984. Its totient is φ = 1040256000000.

The previous prime is 3970599677983. The next prime is 3970599678029. The reversal of 3970599678000 is 8769950793.

3970599678000 is a `hidden beast` number, since 39 + 7 + 0 + 599 + 6 + 7 + 8 + 0 + 0 + 0 = 666.

3970599678000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1318696495 + ... + 1318699505.

Almost surely, 2^{3970599678000} is an apocalyptic number.

3970599678000 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 3970599678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055873296992).

3970599678000 is an abundant number, since it is smaller than the sum of its proper divisors (10141146915984).

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

3970599678000 is a wasteful number, since it uses less digits than its factorization.

3970599678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 3970599678000 in words is "three trillion, nine hundred seventy billion, five hundred ninety-nine million, six hundred seventy-eight thousand".