35972022240 has 1440 divisors, whose sum is σ = 166435093440. Its totient is φ = 7153090560.

The previous prime is 35972022209. The next prime is 35972022257. The reversal of 35972022240 is 4222027953.

35972022240 is a `hidden beast` number, since 3 + 597 + 2 + 0 + 2 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 35972022195 and 35972022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 318336424 + ... + 318336536.

It is an arithmetic number, because the mean of its divisors is an integer number (115579926).

Almost surely, 2^35972022240 is an apocalyptic number.

35972022240 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 35972022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83217546720).

35972022240 is an abundant number, since it is smaller than the sum of its proper divisors (130463071200).

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

35972022240 is a wasteful number, since it uses less digits than its factorization.

35972022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 35972022240 in words is "thirty-five billion, nine hundred seventy-two million, twenty-two thousand, two hundred forty".