35142400 has 162 divisors, whose sum is σ = 97263740. Its totient is φ = 12533760.

The previous prime is 35142377. The next prime is 35142427. The reversal of 35142400 is 424153.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1849591 + ... + 1849609.

Almost surely, 2^35142400 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 35142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48631870).

35142400 is an abundant number, since it is smaller than the sum of its proper divisors (62121340).

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

35142400 is a wasteful number, since it uses less digits than its factorization.

35142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 35142400 is about 5928.1025632153. The cubic root of 35142400 is about 327.5496496410.

Multiplying 35142400 by its sum of digits (19), we get a square (667705600 = 25840²).

35142400 divided by its sum of digits (19) gives a square (1849600 = 1360²).

Adding to 35142400 its reverse (424153), we get a palindrome (35566553).

The spelling of 35142400 in words is "thirty-five million, one hundred forty-two thousand, four hundred".