735745740 has 96 divisors (see below), whose sum is σ = 2227249920. Its totient is φ = 180838656.

The previous prime is 735745739. The next prime is 735745741. The reversal of 735745740 is 47547537.

It is an interprime number because it is at equal distance from previous prime (735745739) and next prime (735745741).

It is a junction number, because it is equal to n+sod(n) for n = 735745692 and 735745701.

It is not an unprimeable number, because it can be changed into a prime (735745741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33459 + ... + 50901.

It is an arithmetic number, because the mean of its divisors is an integer number (23200520).

Almost surely, 2^735745740 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 735745740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113624960).

735745740 is an abundant number, since it is smaller than the sum of its proper divisors (1491504180).

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

735745740 is a wasteful number, since it uses less digits than its factorization.

735745740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17511 (or 17509 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 42.

The square root of 735745740 is about 27124.6334537446. The cubic root of 735745740 is about 902.7675058699.

The spelling of 735745740 in words is "seven hundred thirty-five million, seven hundred forty-five thousand, seven hundred forty".