3625719840 has 384 divisors, whose sum is σ = 13489459200. Its totient is φ = 906992640.

The previous prime is 3625719803. The next prime is 3625719869. The reversal of 3625719840 is 489175263.

3625719840 is a `hidden beast` number, since 3 + 625 + 7 + 19 + 8 + 4 + 0 = 666.

3625719840 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

3625719840 is strictly pandigital in base 10.

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, 13378905 + ... + 13379175.

It is an arithmetic number, because the mean of its divisors is an integer number (35128800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3625719840 = 7251439680, but 3⋅3625719840 = 10877159520 is not.

Almost surely, 2^3625719840 is an apocalyptic number.

3625719840 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 3625719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744729600).

3625719840 is an abundant number, since it is smaller than the sum of its proper divisors (9863739360).

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

3625719840 is a wasteful number, since it uses less digits than its factorization.

3625719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3625719840 is about 60213.9505430428. The cubic root of 3625719840 is about 1536.2600877933.

The spelling of 3625719840 in words is "three billion, six hundred twenty-five million, seven hundred nineteen thousand, eight hundred forty".