3890835150400 has 189 divisors, whose sum is σ = 10525710480033. Its totient is φ = 1414533542400.

The previous prime is 3890835150359. The next prime is 3890835150407. The reversal of 3890835150400 is 40515380983.

The square root of 3890835150400 is 1972520.

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

3890835150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1400700654144 + 2490134496256 = 1183512^2 + 1578016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3890835150407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 867906559 + ... + 867911041.

Almost surely, 2^{3890835150400} is an apocalyptic number.

3890835150400 is the 1972520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890835150400

3890835150400 is an abundant number, since it is smaller than the sum of its proper divisors (6634875329633).

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

3890835150400 is an frugal number, since it uses more digits than its factorization.

3890835150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 3890835150400 in words is "three trillion, eight hundred ninety billion, eight hundred thirty-five million, one hundred fifty thousand, four hundred".