3514345920 has 224 divisors, whose sum is σ = 12492532800. Its totient is φ = 930004992.

The previous prime is 3514345871. The next prime is 3514345921. The reversal of 3514345920 is 295434153.

3514345920 is a `hidden beast` number, since 35 + 1 + 4 + 34 + 592 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3514345921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182196 + ... + 1185164.

Almost surely, 2^3514345920 is an apocalyptic number.

3514345920 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 3514345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246266400).

3514345920 is an abundant number, since it is smaller than the sum of its proper divisors (8978186880).

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

3514345920 is a wasteful number, since it uses less digits than its factorization.

3514345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3514345920 is about 59281.9189972794. The cubic root of 3514345920 is about 1520.3660706480.

The spelling of 3514345920 in words is "three billion, five hundred fourteen million, three hundred forty-five thousand, nine hundred twenty".