3400149312 has 392 divisors, whose sum is σ = 11993270400. Its totient is φ = 935359488.

The previous prime is 3400149301. The next prime is 3400149349. The reversal of 3400149312 is 2139410043.

3400149312 = 18³ + 19³ + ... + 341³.

3400149312 is a `hidden beast` number, since 340 + 0 + 1 + 4 + 9 + 312 = 666.

It is a super-2 number, since 2×3400149312² = 23122030687788146688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9470989 + ... + 9471347.

Almost surely, 2^3400149312 is an apocalyptic number.

3400149312 is a gapful number since it is divisible by the number (32) 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 3400149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996635200).

3400149312 is an abundant number, since it is smaller than the sum of its proper divisors (8593121088).

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

3400149312 is an equidigital number, since it uses as much as digits as its factorization.

3400149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3400149312 is about 58310.7992742339. The cubic root of 3400149312 is about 1503.7166076129.

Adding to 3400149312 its reverse (2139410043), we get a palindrome (5539559355).

The spelling of 3400149312 in words is "three billion, four hundred million, one hundred forty-nine thousand, three hundred twelve".