3514056000 has 448 divisors, whose sum is σ = 14289999360. Its totient is φ = 740966400.

The previous prime is 3514055983. The next prime is 3514056011. The reversal of 3514056000 is 6504153.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3514056000² = 24697179142272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2183196 + ... + 2184804.

It is an arithmetic number, because the mean of its divisors is an integer number (31897320).

Almost surely, 2^3514056000 is an apocalyptic number.

3514056000 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 3514056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144999680).

3514056000 is an abundant number, since it is smaller than the sum of its proper divisors (10775943360).

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

3514056000 is a wasteful number, since it uses less digits than its factorization.

3514056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3514056000 is about 59279.4736818741. The cubic root of 3514056000 is about 1520.3242613837.

The spelling of 3514056000 in words is "three billion, five hundred fourteen million, fifty-six thousand".