35400016 has 40 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 16978560.

The previous prime is 35400011. The next prime is 35400019. The reversal of 35400016 is 61000453.

It is a super-2 number, since 2×35400016² = 2506322265600512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35399966 and 35400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35400011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73665 + ... + 74143.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^35400016 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 35400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

35400016 is an abundant number, since it is smaller than the sum of its proper divisors (36023984).

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

35400016 is a wasteful number, since it uses less digits than its factorization.

35400016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 35400016 is about 5949.7912568425. The cubic root of 35400016 is about 328.3480837736.

Adding to 35400016 its reverse (61000453), we get a palindrome (96400469).

The spelling of 35400016 in words is "thirty-five million, four hundred thousand, sixteen".