354600064 has 96 divisors (see below), whose sum is σ = 885181500. Its totient is φ = 140249088.

The previous prime is 354600049. The next prime is 354600079. The reversal of 354600064 is 460006453.

It is an interprime number because it is at equal distance from previous prime (354600049) and next prime (354600079).

It can be written as a sum of positive squares in 2 ways, for example, as 269222464 + 85377600 = 16408^2 + 9240^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79362 + ... + 83710.

Almost surely, 2^354600064 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 354600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442590750).

354600064 is an abundant number, since it is smaller than the sum of its proper divisors (530581436).

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

354600064 is a wasteful number, since it uses less digits than its factorization.

354600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 354600064 is about 18830.8274911115. The cubic root of 354600064 is about 707.8038760072.

The spelling of 354600064 in words is "three hundred fifty-four million, six hundred thousand, sixty-four".