35749894752 has 768 divisors, whose sum is σ = 131106124800. Its totient is φ = 9316270080.

The previous prime is 35749894751. The next prime is 35749894757. The reversal of 35749894752 is 25749894753.

35749894752 is a `hidden beast` number, since 3 + 5 + 7 + 498 + 94 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35749894752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35749894751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 227706258 + ... + 227706414.

It is an arithmetic number, because the mean of its divisors is an integer number (170711100).

Almost surely, 2^35749894752 is an apocalyptic number.

35749894752 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 35749894752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65553062400).

35749894752 is an abundant number, since it is smaller than the sum of its proper divisors (95356230048).

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

35749894752 is a wasteful number, since it uses less digits than its factorization.

35749894752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

Subtracting from 35749894752 its reverse (25749894753), we obtain a palindrome (9999999999).

The spelling of 35749894752 in words is "thirty-five billion, seven hundred forty-nine million, eight hundred ninety-four thousand, seven hundred fifty-two".