35465672 has 64 divisors (see below), whose sum is σ = 77811840. Its totient is φ = 14976000.

The previous prime is 35465671. The next prime is 35465687. The reversal of 35465672 is 27656453.

It is a super-3 number, since 3×35465672³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (35465671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225818 + ... + 225974.

It is an arithmetic number, because the mean of its divisors is an integer number (1215810).

Almost surely, 2^35465672 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 35465672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905920).

35465672 is an abundant number, since it is smaller than the sum of its proper divisors (42346168).

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

35465672 is a wasteful number, since it uses less digits than its factorization.

35465672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 35465672 is about 5955.3062053936. The cubic root of 35465672 is about 328.5509528693.

The spelling of 35465672 in words is "thirty-five million, four hundred sixty-five thousand, six hundred seventy-two".