35490000 has 300 divisors, whose sum is σ = 141779616. Its totient is φ = 7488000.

The previous prime is 35489981. The next prime is 35490011. The reversal of 35490000 is 9453.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2729994 + ... + 2730006.

Almost surely, 2^35490000 is an apocalyptic number.

35490000 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 35490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70889808).

35490000 is an abundant number, since it is smaller than the sum of its proper divisors (106289616).

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

35490000 is a wasteful number, since it uses less digits than its factorization.

35490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 35490000 is about 5957.3484034426. The cubic root of 35490000 is about 328.6260598691.

Multiplying 35490000 by its sum of digits (21), we get a square (745290000 = 27300²).

35490000 divided by its sum of digits (21) gives a square (1690000 = 1300²).

Adding to 35490000 its reverse (9453), we get a palindrome (35499453).

The spelling of 35490000 in words is "thirty-five million, four hundred ninety thousand".