4086937620 has 360 divisors, whose sum is σ = 14164143840. Its totient is φ = 983664000.

The previous prime is 4086937619. The next prime is 4086937651. The reversal of 4086937620 is 267396804.

4086937620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 119 ways as a sum of consecutive naturals, for example, 16282495 + ... + 16282745.

It is an arithmetic number, because the mean of its divisors is an integer number (39344844).

Almost surely, 2^4086937620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4086937620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082071920).

4086937620 is an abundant number, since it is smaller than the sum of its proper divisors (10077206220).

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

4086937620 is a wasteful number, since it uses less digits than its factorization.

4086937620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4086937620 is about 63929.1609517910. The cubic root of 4086937620 is about 1598.8191312868.

The spelling of 4086937620 in words is "four billion, eighty-six million, nine hundred thirty-seven thousand, six hundred twenty".