35742990 has 64 divisors (see below), whose sum is σ = 91641600. Its totient is φ = 8895744.

The previous prime is 35742979. The next prime is 35743013. The reversal of 35742990 is 9924753.

It is a super-2 number, since 2×35742990² = 2555122668280200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41181 + ... + 42039.

It is an arithmetic number, because the mean of its divisors is an integer number (1431900).

Almost surely, 2^35742990 is an apocalyptic number.

35742990 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 35742990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45820800).

35742990 is an abundant number, since it is smaller than the sum of its proper divisors (55898610).

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

35742990 is a wasteful number, since it uses less digits than its factorization.

35742990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961.

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 35742990 is about 5978.5441371625. The cubic root of 35742990 is about 329.4050805654.

The spelling of 35742990 in words is "thirty-five million, seven hundred forty-two thousand, nine hundred ninety".