35713920 has 256 divisors, whose sum is σ = 132192000. Its totient is φ = 8110080.

The previous prime is 35713897. The next prime is 35713943. The reversal of 35713920 is 2931753.

It is an interprime number because it is at equal distance from previous prime (35713897) and next prime (35713943).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401236 + ... + 401324.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 2^35713920 is an apocalyptic number.

35713920 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 35713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

35713920 is an abundant number, since it is smaller than the sum of its proper divisors (96478080).

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

35713920 is a wasteful number, since it uses less digits than its factorization.

35713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 35713920 is about 5976.1124487412. The cubic root of 35713920 is about 329.3157539321.

The spelling of 35713920 in words is "thirty-five million, seven hundred thirteen thousand, nine hundred twenty".