3400151040 has 832 divisors, whose sum is σ = 14531489280. Its totient is φ = 743178240.

The previous prime is 3400150969. The next prime is 3400151063. The reversal of 3400151040 is 401510043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×3400151040² = 23122054189626163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79073259 + ... + 79073301.

Almost surely, 2^3400151040 is an apocalyptic number.

3400151040 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 3400151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265744640).

3400151040 is an abundant number, since it is smaller than the sum of its proper divisors (11131338240).

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

3400151040 is a wasteful number, since it uses less digits than its factorization.

3400151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3400151040 is about 58310.8140913845. The cubic root of 3400151040 is about 1503.7168623490.

Adding to 3400151040 its reverse (401510043), we get a palindrome (3801661083).

The spelling of 3400151040 in words is "three billion, four hundred million, one hundred fifty-one thousand, forty".