3429787536 has 420 divisors, whose sum is σ = 12306441132. Its totient is φ = 919683072.

The previous prime is 3429787481. The next prime is 3429787547. The reversal of 3429787536 is 6357879243.

3429787536 is a `hidden beast` number, since 3 + 4 + 29 + 7 + 87 + 536 = 666.

3429787536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2057529600 + 1372257936 = 45360^2 + 37044^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9715936 + ... + 9716288.

Almost surely, 2^3429787536 is an apocalyptic number.

3429787536 is a gapful number since it is divisible by the number (36) 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 3429787536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153220566).

3429787536 is an abundant number, since it is smaller than the sum of its proper divisors (8876653596).

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

3429787536 is a wasteful number, since it uses less digits than its factorization.

3429787536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3429787536 is about 58564.3879503577. The cubic root of 3429787536 is about 1508.0731436166.

The spelling of 3429787536 in words is "three billion, four hundred twenty-nine million, seven hundred eighty-seven thousand, five hundred thirty-six".