35413040 has 80 divisors (see below), whose sum is σ = 93931488. Its totient is φ = 12300288.

The previous prime is 35413019. The next prime is 35413073. The reversal of 35413040 is 4031453.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16679 + ... + 18681.

Almost surely, 2^35413040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46965744).

35413040 is an abundant number, since it is smaller than the sum of its proper divisors (58518448).

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

35413040 is a wasteful number, since it uses less digits than its factorization.

35413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 35413040 is about 5950.8856483720. The cubic root of 35413040 is about 328.3883462894.

Adding to 35413040 its reverse (4031453), we get a palindrome (39444493).

The spelling of 35413040 in words is "thirty-five million, four hundred thirteen thousand, forty".