3514762020 has 576 divisors, whose sum is σ = 13453590528. Its totient is φ = 669081600.

The previous prime is 3514762003. The next prime is 3514762021. The reversal of 3514762020 is 202674153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3514762021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36234612 + ... + 36234708.

It is an arithmetic number, because the mean of its divisors is an integer number (23356928).

Almost surely, 2^3514762020 is an apocalyptic number.

3514762020 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 3514762020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6726795264).

3514762020 is an abundant number, since it is smaller than the sum of its proper divisors (9938828508).

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

3514762020 is a wasteful number, since it uses less digits than its factorization.

3514762020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3514762020 is about 59285.4283951799. The cubic root of 3514762020 is about 1520.4260722691.

The spelling of 3514762020 in words is "three billion, five hundred fourteen million, seven hundred sixty-two thousand, twenty".