39897890407620 has 432 divisors, whose sum is σ = 151105895439408. Its totient is φ = 8465496883200.

The previous prime is 39897890407541. The next prime is 39897890407663. The reversal of 39897890407620 is 2670409879893.

39897890407620 is a `hidden beast` number, since 3 + 9 + 8 + 9 + 78 + 90 + 407 + 62 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3737007061956 + 36160883345664 = 1933134^2 + 6013392^2 .

It is a super-3 number, since 3×39897890407620³ (a number of 42 digits) contains 333 as substring.

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, 9123070 + ... + 12768170.

It is an arithmetic number, because the mean of its divisors is an integer number (349782165369).

Almost surely, 2^{39897890407620} is an apocalyptic number.

39897890407620 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 39897890407620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75552947719704).

39897890407620 is an abundant number, since it is smaller than the sum of its proper divisors (111208005031788).

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

39897890407620 is a wasteful number, since it uses less digits than its factorization.

39897890407620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645220 (or 3645208 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 39897890407620 in words is "thirty-nine trillion, eight hundred ninety-seven billion, eight hundred ninety million, four hundred seven thousand, six hundred twenty".