35952240 has 80 divisors (see below), whose sum is σ = 113385600. Its totient is φ = 9421056.

The previous prime is 35952239. The next prime is 35952247. The reversal of 35952240 is 4225953.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×35952240² = 2585127122035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35952198 and 35952207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35952247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12891 + ... + 15429.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^35952240 is an apocalyptic number.

35952240 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 35952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56692800).

35952240 is an abundant number, since it is smaller than the sum of its proper divisors (77433360).

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

35952240 is a wasteful number, since it uses less digits than its factorization.

35952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 35952240 is about 5996.0186790903. The cubic root of 35952240 is about 330.0466417086.

The spelling of 35952240 in words is "thirty-five million, nine hundred fifty-two thousand, two hundred forty".