35478972 has 84 divisors (see below), whose sum is σ = 97320720. Its totient is φ = 11312136.

The previous prime is 35478959. The next prime is 35479009. The reversal of 35478972 is 27987453.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (423360) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1542553 + ... + 1542575.

It is an arithmetic number, because the mean of its divisors is an integer number (1158580).

Almost surely, 2^35478972 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 35478972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48660360).

35478972 is an abundant number, since it is smaller than the sum of its proper divisors (61841748).

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

35478972 is an frugal number, since it uses more digits than its factorization.

35478972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 28 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 35478972 is about 5956.4227519544. The cubic root of 35478972 is about 328.5920177574.

The spelling of 35478972 in words is "thirty-five million, four hundred seventy-eight thousand, nine hundred seventy-two".