35212649472 has 792 divisors, whose sum is σ = 137946314688. Its totient is φ = 8418263040.

The previous prime is 35212649467. The next prime is 35212649501. The reversal of 35212649472 is 27494621253.

35212649472 is a `hidden beast` number, since 3 + 52 + 126 + 4 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101477203 + ... + 101477549.

Almost surely, 2^35212649472 is an apocalyptic number.

35212649472 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 35212649472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68973157344).

35212649472 is an abundant number, since it is smaller than the sum of its proper divisors (102733665216).

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

35212649472 is a wasteful number, since it uses less digits than its factorization.

35212649472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 383 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 35212649472 in words is "thirty-five billion, two hundred twelve million, six hundred forty-nine thousand, four hundred seventy-two".