35700480 has 144 divisors (see below), whose sum is σ = 126809760. Its totient is φ = 9510912.

The previous prime is 35700461. The next prime is 35700491. The reversal of 35700480 is 8400753.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 34044 + ... + 35076.

Almost surely, 2^35700480 is an apocalyptic number.

35700480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63404880).

35700480 is an abundant number, since it is smaller than the sum of its proper divisors (91109280).

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

35700480 is a wasteful number, since it uses less digits than its factorization.

35700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 35700480 is about 5974.9878660965. The cubic root of 35700480 is about 329.2744389578.

The spelling of 35700480 in words is "thirty-five million, seven hundred thousand, four hundred eighty".