3889953467400 has 2304 divisors, whose sum is σ = 17491740456960. Its totient is φ = 690359500800.

The previous prime is 3889953467363. The next prime is 3889953467429. The reversal of 3889953467400 is 47643599883.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12670858047 + ... + 12670858353.

It is an arithmetic number, because the mean of its divisors is an integer number (7591901240).

Almost surely, 2^{3889953467400} is an apocalyptic number.

3889953467400 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 3889953467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8745870228480).

3889953467400 is an abundant number, since it is smaller than the sum of its proper divisors (13601786989560).

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

3889953467400 is a wasteful number, since it uses less digits than its factorization.

3889953467400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 3889953467400 in words is "three trillion, eight hundred eighty-nine billion, nine hundred fifty-three million, four hundred sixty-seven thousand, four hundred".