35400416 has 48 divisors (see below), whose sum is σ = 74118240. Its totient is φ = 16611840.

The previous prime is 35400403. The next prime is 35400437. The reversal of 35400416 is 61400453.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 35400391 and 35400400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33821 + ... + 34851.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130).

Almost surely, 2^35400416 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 35400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37059120).

35400416 is an abundant number, since it is smaller than the sum of its proper divisors (38717824).

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

35400416 is a wasteful number, since it uses less digits than its factorization.

35400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 35400416 is about 5949.8248713723. The cubic root of 35400416 is about 328.3493204844.

Adding to 35400416 its reverse (61400453), we get a palindrome (96800869).

The spelling of 35400416 in words is "thirty-five million, four hundred thousand, four hundred sixteen".