35782413990 has 128 divisors (see below), whose sum is σ = 92328837120. Its totient is φ = 8851949568.

The previous prime is 35782413973. The next prime is 35782413991. The reversal of 35782413990 is 9931428753.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35782413991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8601531 + ... + 8605689.

It is an arithmetic number, because the mean of its divisors is an integer number (721319040).

Almost surely, 2^35782413990 is an apocalyptic number.

35782413990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35782413990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46164418560).

35782413990 is an abundant number, since it is smaller than the sum of its proper divisors (56546423130).

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

35782413990 is a wasteful number, since it uses less digits than its factorization.

35782413990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 35782413990 in words is "thirty-five billion, seven hundred eighty-two million, four hundred thirteen thousand, nine hundred ninety".