35642109120 has 224 divisors, whose sum is σ = 119335783680. Its totient is φ = 8987996160.

The previous prime is 35642109103. The next prime is 35642109121. The reversal of 35642109120 is 2190124653.

It is not an unprimeable number, because it can be changed into a prime (35642109121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12456490 + ... + 12459350.

Almost surely, 2^35642109120 is an apocalyptic number.

35642109120 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 35642109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59667891840).

35642109120 is an abundant number, since it is smaller than the sum of its proper divisors (83693674560).

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

35642109120 is a wasteful number, since it uses less digits than its factorization.

35642109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 35642109120 in words is "thirty-five billion, six hundred forty-two million, one hundred nine thousand, one hundred twenty".