387048225424 has 135 divisors (see below), whose sum is σ = 927381676233. Its totient is φ = 156000843264.

The previous prime is 387048225401. The next prime is 387048225463. The reversal of 387048225424 is 424522840783.

The square root of 387048225424 is 622132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 301335123600 + 85713101824 = 548940^2 + 292768^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296134179 + ... + 296135485.

Almost surely, 2^387048225424 is an apocalyptic number.

387048225424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

387048225424 is the 622132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387048225424

387048225424 is an abundant number, since it is smaller than the sum of its proper divisors (540333450809).

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

387048225424 is an equidigital number, since it uses as much as digits as its factorization.

387048225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 49.

Multiplying 387048225424 by its sum of digits (49), we get a square (18965363045776 = 4354924²).

387048225424 divided by its sum of digits (49) gives a square (7898943376 = 88876²).

The spelling of 387048225424 in words is "three hundred eighty-seven billion, forty-eight million, two hundred twenty-five thousand, four hundred twenty-four".