35742420 has 144 divisors (see below), whose sum is σ = 130515840. Its totient is φ = 7734528.

The previous prime is 35742389. The next prime is 35742451. The reversal of 35742420 is 2424753.

It is an interprime number because it is at equal distance from previous prime (35742389) and next prime (35742451).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23194 + ... + 24686.

It is an arithmetic number, because the mean of its divisors is an integer number (906360).

Almost surely, 2^35742420 is an apocalyptic number.

35742420 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 35742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65257920).

35742420 is an abundant number, since it is smaller than the sum of its proper divisors (94773420).

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

35742420 is a wasteful number, since it uses less digits than its factorization.

35742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 35742420 is about 5978.4964665039. The cubic root of 35742420 is about 329.4033295284.

The spelling of 35742420 in words is "thirty-five million, seven hundred forty-two thousand, four hundred twenty".