35804698272 has 360 divisors, whose sum is σ = 126729478260. Its totient is φ = 9876142080.

The previous prime is 35804698249. The next prime is 35804698283. The reversal of 35804698272 is 27289640853.

35804698272 is a `hidden beast` number, since 35 + 8 + 0 + 469 + 82 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32646707856 + 3157990416 = 180684^2 + 56196^2 .

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 59 ways as a sum of consecutive naturals, for example, 3678372 + ... + 3688092.

Almost surely, 2^35804698272 is an apocalyptic number.

35804698272 is a gapful number since it is divisible by the number (32) 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 35804698272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63364739130).

35804698272 is an abundant number, since it is smaller than the sum of its proper divisors (90924779988).

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

35804698272 is a wasteful number, since it uses less digits than its factorization.

35804698272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 35804698272 in words is "thirty-five billion, eight hundred four million, six hundred ninety-eight thousand, two hundred seventy-two".