3625413792 has 384 divisors, whose sum is σ = 13200703488. Its totient is φ = 840499200.

The previous prime is 3625413787. The next prime is 3625413797. The reversal of 3625413792 is 2973145263.

It is an interprime number because it is at equal distance from previous prime (3625413787) and next prime (3625413797).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3625413797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2978368 + ... + 2979584.

It is an arithmetic number, because the mean of its divisors is an integer number (34376832).

Almost surely, 2^3625413792 is an apocalyptic number.

3625413792 is a gapful number since it is divisible by the number (32) 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 3625413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600351744).

3625413792 is an abundant number, since it is smaller than the sum of its proper divisors (9575289696).

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

3625413792 is a wasteful number, since it uses less digits than its factorization.

3625413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 3625413792 is about 60211.4091514225. The cubic root of 3625413792 is about 1536.2168611994.

The spelling of 3625413792 in words is "three billion, six hundred twenty-five million, four hundred thirteen thousand, seven hundred ninety-two".