3724369625088 has 1024 divisors, whose sum is σ = 13716842496000. Its totient is φ = 974625177600.

The previous prime is 3724369625087. The next prime is 3724369625131. The reversal of 3724369625088 is 8805269634273.

It is a happy number.

3724369625088 is a `hidden beast` number, since 3 + 7 + 2 + 4 + 3 + 69 + 62 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3724369625087) 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, 3647766018 + ... + 3647767038.

It is an arithmetic number, because the mean of its divisors is an integer number (13395354000).

Almost surely, 2^{3724369625088} is an apocalyptic number.

3724369625088 is a gapful number since it is divisible by the number (38) 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 3724369625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858421248000).

3724369625088 is an abundant number, since it is smaller than the sum of its proper divisors (9992472870912).

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

3724369625088 is a wasteful number, since it uses less digits than its factorization.

3724369625088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3724369625088 in words is "three trillion, seven hundred twenty-four billion, three hundred sixty-nine million, six hundred twenty-five thousand, eighty-eight".