3885729408 has 384 divisors, whose sum is σ = 13005195840. Its totient is φ = 1144627200.

The previous prime is 3885729391. The next prime is 3885729413. The reversal of 3885729408 is 8049275883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14027766 + ... + 14028042.

Almost surely, 2^3885729408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3885729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502597920).

3885729408 is an abundant number, since it is smaller than the sum of its proper divisors (9119466432).

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

3885729408 is a wasteful number, since it uses less digits than its factorization.

3885729408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 3885729408 is about 62335.6190953455. The cubic root of 3885729408 is about 1572.1386743232.

It can be divided in two parts, 38857 and 29408, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 3885729408 in words is "three billion, eight hundred eighty-five million, seven hundred twenty-nine thousand, four hundred eight".