35090908020 has 576 divisors, whose sum is σ = 135522616320. Its totient is φ = 7489843200.

The previous prime is 35090907991. The next prime is 35090908049. The reversal of 35090908020 is 2080909053.

It is an interprime number because it is at equal distance from previous prime (35090907991) and next prime (35090908049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81417205 + ... + 81417635.

It is an arithmetic number, because the mean of its divisors is an integer number (235282320).

Almost surely, 2^35090908020 is an apocalyptic number.

35090908020 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 35090908020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67761308160).

35090908020 is an abundant number, since it is smaller than the sum of its proper divisors (100431708300).

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

35090908020 is a wasteful number, since it uses less digits than its factorization.

35090908020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 35090908020 in words is "thirty-five billion, ninety million, nine hundred eight thousand, twenty".