35970048 has 88 divisors (see below), whose sum is σ = 106607760. Its totient is φ = 11980800.

The previous prime is 35970041. The next prime is 35970049. The reversal of 35970048 is 84007953.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35969994 and 35970021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35970041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26998 + ... + 28298.

Almost surely, 2^35970048 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 35970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53303880).

35970048 is an abundant number, since it is smaller than the sum of its proper divisors (70637712).

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

35970048 is a wasteful number, since it uses less digits than its factorization.

35970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 35970048 is about 5997.5034806159. The cubic root of 35970048 is about 330.1011260323.

It can be divided in two parts, 359 and 70048, that added together give a palindrome (70407).

The spelling of 35970048 in words is "thirty-five million, nine hundred seventy thousand, forty-eight".