35402000 has 80 divisors (see below), whose sum is σ = 88518144. Its totient is φ = 13680000.

The previous prime is 35401999. The next prime is 35402009. The reversal of 35402000 is 20453.

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

It is not an unprimeable number, because it can be changed into a prime (35402009) 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, 61715 + ... + 62285.

Almost surely, 2^35402000 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 35402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44259072).

35402000 is an abundant number, since it is smaller than the sum of its proper divisors (53116144).

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

35402000 is a wasteful number, since it uses less digits than its factorization.

35402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 35402000 is about 5949.9579830449. The cubic root of 35402000 is about 328.3542177674.

Adding to 35402000 its reverse (20453), we get a palindrome (35422453).

The spelling of 35402000 in words is "thirty-five million, four hundred two thousand".