3625127040 has 256 divisors, whose sum is σ = 12451507200. Its totient is φ = 894136320.

The previous prime is 3625127003. The next prime is 3625127063. The reversal of 3625127040 is 407215263.

It is a super-2 number, since 2×3625127040² = 26283092112278323200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3625126989 and 3625127007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567485 + ... + 1569795.

It is an arithmetic number, because the mean of its divisors is an integer number (48638700).

Almost surely, 2^3625127040 is an apocalyptic number.

3625127040 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 3625127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6225753600).

3625127040 is an abundant number, since it is smaller than the sum of its proper divisors (8826380160).

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

3625127040 is a wasteful number, since it uses less digits than its factorization.

3625127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2383 counting only the distinct ones).

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

The square root of 3625127040 is about 60209.0278944944. The cubic root of 3625127040 is about 1536.1763577887.

The spelling of 3625127040 in words is "three billion, six hundred twenty-five million, one hundred twenty-seven thousand, forty".