35398480 has 80 divisors (see below), whose sum is σ = 89775504. Its totient is φ = 12902400.

The previous prime is 35398459. The next prime is 35398507. The reversal of 35398480 is 8489353.

It can be written as a sum of positive squares in 8 ways, for example, as 304704 + 35093776 = 552^2 + 5924^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104872 + ... + 105208.

Almost surely, 2^35398480 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 35398480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44887752).

35398480 is an abundant number, since it is smaller than the sum of its proper divisors (54377024).

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

35398480 is a wasteful number, since it uses less digits than its factorization.

35398480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 35398480 is about 5949.6621752836. The cubic root of 35398480 is about 328.3433347179.

The spelling of 35398480 in words is "thirty-five million, three hundred ninety-eight thousand, four hundred eighty".