3514390000 has 200 divisors, whose sum is σ = 9510855552. Its totient is φ = 1246560000.

The previous prime is 3514389953. The next prime is 3514390001. The reversal of 3514390000 is 934153.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3514390001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4729629 + ... + 4730371.

Almost surely, 2^3514390000 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 3514390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755427776).

3514390000 is an abundant number, since it is smaller than the sum of its proper divisors (5996465552).

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

3514390000 is a wasteful number, since it uses less digits than its factorization.

3514390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 3514390000 is about 59282.2907789502. The cubic root of 3514390000 is about 1520.3724272084.

The spelling of 3514390000 in words is "three billion, five hundred fourteen million, three hundred ninety thousand".