35408142 has 96 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 9020160.

The previous prime is 35408137. The next prime is 35408147. The reversal of 35408142 is 24180453.

35408142 is a `hidden beast` number, since 3 + 540 + 81 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (35408137) and next prime (35408147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35408147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81558 + ... + 81990.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^35408142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35408142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

35408142 is an abundant number, since it is smaller than the sum of its proper divisors (62085618).

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

35408142 is a wasteful number, since it uses less digits than its factorization.

35408142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 35408142 is about 5950.4740987589. The cubic root of 35408142 is about 328.3732057246.

Adding to 35408142 its reverse (24180453), we get a palindrome (59588595).

The spelling of 35408142 in words is "thirty-five million, four hundred eight thousand, one hundred forty-two".