388742400 has 324 divisors, whose sum is σ = 1475304012. Its totient is φ = 97320960.

The previous prime is 388742381. The next prime is 388742401. The reversal of 388742400 is 4247883.

It can be written as a sum of positive squares in 6 ways, for example, as 3326976 + 385415424 = 1824^2 + 19632^2 .

It is a super-2 number, since 2×388742400² = 302241307115520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388742401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979002 + ... + 979398.

Almost surely, 2^388742400 is an apocalyptic number.

388742400 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 388742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737652006).

388742400 is an abundant number, since it is smaller than the sum of its proper divisors (1086561612).

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

388742400 is a wasteful number, since it uses less digits than its factorization.

388742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 388742400 is about 19716.5514225992. The cubic root of 388742400 is about 729.8281950103.

The spelling of 388742400 in words is "three hundred eighty-eight million, seven hundred forty-two thousand, four hundred".